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Finding the Fourth Proportional to 7,091.58, 10,630.42 and 2,646

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Solution

The fourth proportional to 7,091.58, 10,630.42 and 2,646 is: 3,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.58 : 10,630.42 = 2,646 : x
  2. Step 2: Convert to fraction form
    7,091.58/10,630.42 = 2,646/x
  3. Step 3: Cross multiply
    7,091.58x = 10,630.42 × 2,646
  4. Step 4: Simplify right side
    7,091.58x = 28,128,091.32
  5. Step 5: Solve for x
    x = 28,128,091.32/7,091.58
  6. Step 6: Final answer
    x = 3,966.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.